LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 2

Algebra - The learner will use relations and functions to solve problems.

Objective 2.03

Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

  • Interpret the constants, coefficients, and bases in the context of the data.
  • Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

Resources aligned to this objective

Chutes and Ladders - Quadratic Equations Review
This lesson is designed as a review lesson for solving quadratic equations. Students will play the game "Chutes and Ladders," modified for quadratic equations, as they review for the test.
Format: lesson plan (grade 9–12 Mathematics)
By michelle longest.
Computer Graphing Calculator Explorations
Use the built in graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
Format: lesson plan (grade 9–12 Mathematics)
By Charlotte Lewis.
Hyper-Solving Quadratic Equations
This plan uses student created HyperStudio Programs to present, review, and summarize various methods of solving quadratic equations.
Format: lesson plan (grade 9–12 Mathematics)
By Charlotte Lewis.
Line of Best Fit: Feet & Forearms
This is an activity that allows the students to be active in finding the line of best fit. They will gather their own data and then use a calculator to find the line of best fit, as well as the equation.
Format: lesson plan (grade 9–12 Mathematics)
By Heather Maxwell.
Space Shuttle O-ring failure
Students will use a TI82 or TI83 calculator to construct a scatterplot, find the equation of the least-squares regression line for a set of data, find the coefficient of determination, and make predictions by using the line.
Format: lesson plan (grade 9–12 Mathematics)
By Brenda Goforth.

Lesson plans on the web

Bathtub Water Levels
Students examine real-life data that illustrates a negative slope. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Correlation and the Regression Line
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
The Effects of Outliers
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Exploring linear functions: Representational relationships
This lesson presents a series of explorations based on two linked representations of linear functions. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Gallery Walk
Students view the work of other students in the class and explain their own work. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
My Graph Is...
Students select their own real-life data to plot and interpret. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
The Regression Line
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive graphing tool. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Traveling Distances
Students interpret the meaning of the slope and y-intercept of the graph of real-life data. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics